Locally covariant description of a π-meson field

  • A. S. SitdikovEmail author
  • A. A. Khamzin
  • A. S. Nikitin
  • S. Yu. Antonov
Proceedings of the International Conference “Nucleus-2011” (The 61st International Conference on Nuclear Spectroscopy and the Structure of Atomic Nuclei)


The algebra of canonical commutation relations is constructed in the Weyl form and a locally covariant formulation of a charged scalar field is presented in terms of the covariant functor. The symplectic space of solutions of the Klein-Gordon-Fock equation is represented as a direct sum of symplectic spaces of positively and negatively charged π mesons. In each of the spaces, these fields satisfy the conditions of the locally covariant quantum field theory. Using natural transformation, the equivalence of two functors describing the π+ and π mesons is shown. From the physical viewpoint, the equivalence corresponds to the equality of the mesons’ masses.


Isometric Embedding Covariant Functor Cauchy Surface Symplectic Space Hyperbolic Space Time 
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Copyright information

© Allerton Press, Inc. 2012

Authors and Affiliations

  • A. S. Sitdikov
    • 1
    Email author
  • A. A. Khamzin
    • 1
  • A. S. Nikitin
    • 1
  • S. Yu. Antonov
    • 1
  1. 1.Kazan State Power Engineering UniversityKazanRussia

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